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13360398228 = 2234313735951
BaseRepresentation
bin11000111000101011…
…10111111110010100
31021111002221112220000
430130111313332110
5204330230220403
610045423411300
7652040340222
oct143425677624
937432845800
1013360398228
115736661a31
12270a453b30
13134bc58aa8
1490a581b12
15532de17a3
hex31c577f94

13360398228 has 120 divisors (see below), whose sum is σ = 37028834304. Its totient is φ = 4193208000.

The previous prime is 13360398167. The next prime is 13360398229. The reversal of 13360398228 is 82289306331.

13360398228 is a `hidden beast` number, since 1 + 3 + 36 + 0 + 398 + 228 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13360398229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353653 + ... + 389603.

Almost surely, 213360398228 is an apocalyptic number.

13360398228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13360398228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514417152).

13360398228 is an abundant number, since it is smaller than the sum of its proper divisors (23668436076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13360398228 is a wasteful number, since it uses less digits than its factorization.

13360398228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36035 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13360398228 in words is "thirteen billion, three hundred sixty million, three hundred ninety-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 81 93 108 111 124 148 162 186 222 279 324 333 372 444 558 666 837 999 1116 1147 1332 1674 1998 2294 2511 2997 3348 3441 3996 4588 5022 5994 6882 10044 10323 11988 13764 20646 30969 35951 41292 61938 71902 92907 107853 123876 143804 185814 215706 323559 371628 431412 647118 970677 1114481 1294236 1330187 1941354 2228962 2660374 2912031 3343443 3882708 3990561 4457924 5320748 5824062 6686886 7981122 10030329 11648124 11971683 13373772 15962244 20060658 23943366 30090987 35915049 40121316 41235797 47886732 60181974 71830098 82471594 90272961 107745147 120363948 123707391 143660196 164943188 180545922 215490294 247414782 361091844 371122173 430980588 494829564 742244346 1113366519 1484488692 2226733038 3340099557 4453466076 6680199114 13360398228